Describe any similarities and differences. Refer to the end behaviour, local maximum and local minimum points, and maximum and minimum points. a) Sketch graphs of y=sin x and y=cos x. b) Compare the graph of a periodic function to the graph of a polynomial function.

Isa Trevino

Isa Trevino

Answered question

2021-02-20

Describe any similarities and differences. Refer to the end behaviour, local maximum and local minimum points, and maximum and minimum points.
a) Sketch graphs of y=sin x and y=cos x.
b) Compare the graph of a periodic function to the graph of a polynomial function.

Answer & Explanation

Yusuf Keller

Yusuf Keller

Skilled2021-02-21Added 90 answers

Step 1
a)

Step 2
b) Periodic function: A function with a graph that repeats identically smoothly from left to right. It can be represented by f(x)=f(x + p)>
There is no the end points for the periodic functions and have uncountable number from the turning points (local maximum and local minimum points).
The graphs of polynomial functions are continuous, and smooth graphs.
The turning points and the behavior of polynomial function graphs depend mainly on its degree.

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